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Merge pull request #2283 from SciML/bgc/split_params_bug
Support heterogeneous parameters for linearize and remake
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,5 +1,5 @@ | ||
\begin{align} | ||
\frac{\mathrm{d} x\left( t \right)}{\mathrm{d}t} =& \frac{\sigma \left( - x\left( t \right) + y\left( t \right) \right) \frac{\mathrm{d}}{\mathrm{d}t} \left( - y\left( t \right) + x\left( t \right) \right)}{\frac{\mathrm{d} z\left( t \right)}{\mathrm{d}t}} \\ | ||
0 =& - y\left( t \right) + \frac{1}{10} \sigma \left( \rho - z\left( t \right) \right) x\left( t \right) \\ | ||
\frac{\mathrm{d} z\left( t \right)}{\mathrm{d}t} =& \left( y\left( t \right) \right)^{\frac{2}{3}} x\left( t \right) - \beta z\left( t \right) | ||
\frac{\mathrm{d} x\left( t \right)}{\mathrm{d}t} =& \frac{\left( - x\left( t \right) + y\left( t \right) \right) \frac{\mathrm{d}}{\mathrm{d}t} \left( x\left( t \right) - y\left( t \right) \right) \sigma}{\frac{\mathrm{d} z\left( t \right)}{\mathrm{d}t}} \\ | ||
0 =& - y\left( t \right) + \frac{1}{10} x\left( t \right) \left( - z\left( t \right) + \rho \right) \sigma \\ | ||
\frac{\mathrm{d} z\left( t \right)}{\mathrm{d}t} =& \left( y\left( t \right) \right)^{\frac{2}{3}} x\left( t \right) - z\left( t \right) \beta | ||
\end{align} |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,5 +1,5 @@ | ||
\begin{align} | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_1 =& \left( - u(t)_1 + u(t)_2 \right) p_3 \\ | ||
0 =& - u(t)_2 + \frac{1}{10} \left( - u(t)_1 + p_1 \right) p_2 p_3 u(t)_1 \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_1 =& p_3 \left( - u(t)_1 + u(t)_2 \right) \\ | ||
0 =& - u(t)_2 + \frac{1}{10} \left( p_1 - u(t)_1 \right) p_2 p_3 u(t)_1 \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_3 =& u(t)_2^{\frac{2}{3}} u(t)_1 - p_3 u(t)_3 | ||
\end{align} |
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,5 +1,5 @@ | ||
\begin{align} | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_1 =& \left( - u(t)_1 + u(t)_2 \right) p_3 \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_2 =& - u(t)_2 + \frac{1}{10} \left( - u(t)_1 + p_1 \right) p_2 p_3 u(t)_1 \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_1 =& p_3 \left( - u(t)_1 + u(t)_2 \right) \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_2 =& - u(t)_2 + \frac{1}{10} \left( p_1 - u(t)_1 \right) p_2 p_3 u(t)_1 \\ | ||
\frac{\mathrm{d}}{\mathrm{d}t} u(t)_3 =& u(t)_2^{\frac{2}{3}} u(t)_1 - p_3 u(t)_3 | ||
\end{align} |
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